Question

A well with 7m diameter is dug 18m deep. The earth taken out of it has been evenly spread all around it to a width of 10.5m to from an embankment. Find the height of the embankment​

Answer 1

Answer:

Step-by-step explanation:

Solution

verified

Verified by Toppr

Volume of the earth=πr

2

H where H is the depth of the well.

=

7

22

​

×3.5

2

×22.5

=866.25cubic metre.

This earth is used to make the embankment.

Volume of earth(embankment)=πR

2 H−πr 2h

⇒

7

22

​

×(10.5+3.5)

2

h−

7

22

​

×(3.5)

2

h=866.25

⇒

7

22

​

×14×14h−

7

22

​

×3.5×3.5h=866.25

⇒616h−38.5h=866.25 on simplification

⇒577.5h=866.25

⇒h=

577.5

866.25

​

=1.5m

∴ The height of embankment=1.5m

solution